Math Monday: Quilted Geometric Spheres

Craft & Design Science
Math Monday: Quilted Geometric Spheres

By George Hart for the Museum of Mathematics

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Anabeth Dollind made this assortment of quilted balls, based on tilings of the sphere. These first two are spherical versions of Platonic solids: the dodecahedron and icosahedron, with twelve pentagons and twenty triangles, respectively.

Next are a spherical version of the icosidodecahedron, which has twelve pentagons and twenty triangles combined, and its dual, the rhombic triacontahedron, which consists of thirty rhombi.

And here are a couple that incorporate squares, the rhombicuboctahedron and the truncated octahedron.

There’s no limit to the possible geometric designs and fabric combinations. You just need a needle, thread, scissors, fabric, and stuffing. Choose a design, cut out polygons with a common edge length, and hand-stitch the edges. See what you come up with!

More:
See all of George Hart’s Math Monday columns

4 thoughts on “Math Monday: Quilted Geometric Spheres

  1. Keith Trnka says:

    These kinds of patterns are commercially used for footbag/hackysack (see http://worldfootbag.com/ for instance). If you’re interested in that, I suggest changing normal stuffing for popcorn kernels, which makes for some nice homemade footbags.

  2. ローレックス says:

    アンティーク ロレックス ローレックス http://www.pia5.comrolexロレックス-m0owb-2.html/

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Gareth Branwyn is a freelance writer and the former Editorial Director of Maker Media. He is the author or editor of over a dozen books on technology, DIY, and geek culture. He is currently a contributor to Boing Boing, Wink Books, and Wink Fun. His free weekly-ish maker tips newsletter can be found at garstipsandtools.com.

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